ODE
\[ x^2 y''(x)-7 x y'(x)+16 y(x)=0 \] ODE Classification
[[_Emden, _Fowler]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.172576 (sec), leaf count = 18
\[\left \{\left \{y(x)\to x^4 (4 c_2 \log (x)+c_1)\right \}\right \}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 17
\[[y \left (x \right ) = \textit {\_C1} \,x^{4}+\textit {\_C2} \,x^{4} \ln \left (x \right )]\] Mathematica raw input
DSolve[16*y[x] - 7*x*y'[x] + x^2*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> x^4*(C[1] + 4*C[2]*Log[x])}}
Maple raw input
dsolve(x^2*diff(diff(y(x),x),x)-7*x*diff(y(x),x)+16*y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*x^4+_C2*x^4*ln(x)]